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Finding the Fourth Proportional to 198,641.68, 297,899.34 and 65,497.12

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Solution

The fourth proportional to 198,641.68, 297,899.34 and 65,497.12 is: 98,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,641.68 : 297,899.34 = 65,497.12 : x
  2. Step 2: Convert to fraction form
    198,641.68/297,899.34 = 65,497.12/x
  3. Step 3: Cross multiply
    198,641.68x = 297,899.34 × 65,497.12
  4. Step 4: Simplify right side
    198,641.68x = 19,511,548,819.90
  5. Step 5: Solve for x
    x = 19,511,548,819.90/198,641.68
  6. Step 6: Final answer
    x = 98,224.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.